The probability that a region prone to hurricanes will be hit by a hurricane in any single year is one tenth or 0.1
P(at least one) = 1 - P(none in five years)
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= 1 - 0.90^5
= 1 - 0.59049
=0.40951 or 0.41.
41% probability that there will be a hurricane at least once in the next 5 years.
<h3>3
Answers:</h3>
A) y intercept is (0,3)
C) Axis of symmetry is x = -1
D) Vertex is (-1, 4)
So basically everything but choice B is true.
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Explanation:
Choice A is true because plugging in x = 0 leads to y = 3. Effectively, anything with an x goes away when x = 0 leaving that 3 behind. So finding the y intercept in this form is fairly fast.
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To check choices B through D, let's convert the equation into vertex form.
y = -1x^2 - 2x + 3 is in the form y = ax^2 + bx + c where
a = -1
b = -2
c = 3
The vertex is located at (h,k) such that h = -b/(2a)
Plug the values of 'a' and 'b' into the equation below
h = -b/(2a)
h = -(-2)/(2*(-1))
h = 2/(-2)
h = -1
The x coordinate of the vertex is x = -1
Then use this to find the y coordinate of the vertex
y = -1x^2 - 2x + 3
y = -1(-1)^2 - 2(-1) + 3
y = 4
The y coordinate of the vertex is 4, meaning k = 4
The vertex overall is (h,k) = (-1, 4)
This shows choice D is true, meaning choice B has to be false.
Choice C is true because the axis of symmetry is the x coordinate of the vertex. This is the vertical line that cuts the parabola into two mirrored halves. This vertical line always goes through the vertex.
Answer:
I looked at it thoroughly and I believe your correct, I believe I have done something like this before. please tell me if I am wrong. If I am, REPORT ME so you can get your point back.
Step-by-step explanation:
Hope I helped! :D
Answer:
1
Step-by-step explanation:
5 *1+48+7*1= 60
12(x+4)=60
Answer:
0,-1
Step-by-step explanation:
